{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:PHQSHOHZDHMYT2SD37XLWZSSI7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2c38f801fe3aec1b2d6ca87af448772e252d3eda44f4a0b60f1f596bcf1f219e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-04-01T08:41:44Z","title_canon_sha256":"ea9557763055b6f25ad25065664ab1126c0866a90e5aced1c53716aa8eb70ba6"},"schema_version":"1.0","source":{"id":"1904.00638","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00638","created_at":"2026-05-17T23:49:47Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00638v1","created_at":"2026-05-17T23:49:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00638","created_at":"2026-05-17T23:49:47Z"},{"alias_kind":"pith_short_12","alias_value":"PHQSHOHZDHMY","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"PHQSHOHZDHMYT2SD","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"PHQSHOHZ","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:8c41e0fb663c3445067ea597b6ebe7d7376dcccdccbcf65d39c990adbbdbbd9c","target":"graph","created_at":"2026-05-17T23:49:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We develop in this work a method to parametrize the set $\\mathrm{Irr}(U)$ of irreducible characters of a Sylow $p$-subgroup $U$ of a finite Chevalley group $G(p^f)$ which is valid for arbitrary primes $p$, in particular when $p$ is a very bad prime for $G$. As an application, we parametrize $\\mathrm{Irr}(U)$ when $G=\\mathrm{F}_4(2^f)$.","authors_text":"Alessandro Paolini, Kay Magaard, Tung Le","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-04-01T08:41:44Z","title":"On the characters of Sylow $p$-subgroups of finite Chevalley groups $G(p^f)$ for arbitrary primes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00638","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8e814ad163ac6d9b43ca85c9e3d57357df0805e2060c1bf37408beda63f75a66","target":"record","created_at":"2026-05-17T23:49:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2c38f801fe3aec1b2d6ca87af448772e252d3eda44f4a0b60f1f596bcf1f219e","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2019-04-01T08:41:44Z","title_canon_sha256":"ea9557763055b6f25ad25065664ab1126c0866a90e5aced1c53716aa8eb70ba6"},"schema_version":"1.0","source":{"id":"1904.00638","kind":"arxiv","version":1}},"canonical_sha256":"79e123b8f919d989ea43dfeebb665247dc7ca6b3384e8c94123be18300f12820","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"79e123b8f919d989ea43dfeebb665247dc7ca6b3384e8c94123be18300f12820","first_computed_at":"2026-05-17T23:49:47.847267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:47.847267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CWOQWIbTZegCcJ6rBQO9bgyWoHn7Tqag+41zZ5MoKoQ5OdKAZIrFJX4zOLn14MrKyk1pDi+bcDfXgtqgQ63JDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:47.847779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00638","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e814ad163ac6d9b43ca85c9e3d57357df0805e2060c1bf37408beda63f75a66","sha256:8c41e0fb663c3445067ea597b6ebe7d7376dcccdccbcf65d39c990adbbdbbd9c"],"state_sha256":"d1efde67fe733461bf089f571a787f467695f179eba97f7885fb1ae3aee0b5e1"}